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Finding the Third Proportional to 211,312,481 and 291,986,985

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Solution

The third proportional to 211,312,481 and 291,986,985 is: 403,461,257.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,312,481 : 291,986,985 = 291,986,985 : x
  2. Step 2: Convert to fraction form
    211,312,481/291,986,985 = 291,986,985/x
  3. Step 3: Cross multiply
    211,312,481x = 291,986,985 × 291,986,985
  4. Step 4: Simplify right side
    211,312,481x = 85,256,399,409,390,224
  5. Step 5: Solve for x
    x = 85,256,399,409,390,224/211,312,481
  6. Step 6: Final answer
    x = 403,461,257.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.